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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 20

Algebraic expressions worksheets — Class 6 to 8, with answers

Free algebra worksheets for Class 6, 7 and 8: write algebraic expressions, find the value, like terms, add and subtract expressions, coefficients and multiplying — with answers.

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Write the expression (Class 6)Find the value (Class 6–7)Like terms (Class 7)Coefficients and terms (Class 7)Adding and subtracting expressions (Class 7–8)Value with two letters (Class 7–8)Multiplying expressions (Class 8)

Write the expression

Class 6 · Worksheet 1 · set 20
Name:Date:Score:    / 12

Write as an algebraic expression.

  1. Write as an expression: the product of 4 and y
  2. Write as an expression: p increased by 9
  3. Write as an expression: n increased by 11
  4. Write as an expression: 3 times x
  5. Write as an expression: the sum of m and y
  6. Write as an expression: 11 less than 4 times m
  7. Write as an expression: n increased by 10
  8. Write as an expression: the sum of n and y
  9. Write as an expression: 6 times p
  10. Write as an expression: 10 less than y
  11. Write as an expression: the sum of p and y
  12. Write as an expression: 2 more than b

Find the value

Class 6–7 · Worksheet 2 · set 20
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of p² + 15p when p = 4
  2. Value of 5x − 4 when x = 9
  3. Value of 9p + 2 when p = 2
  4. Value of 5x² when x = 8
  5. Value of x² + 7x when x = 9
  6. Value of 5(p + 13) when p = 2
  7. Value of 8m + 7 when m = 6
  8. Value of 5m + 7 when m = 9
  9. Value of 3n − 3 when n = 3
  10. Value of 3(p + 15) when p = 2

Like terms

Class 7 · Worksheet 3 · set 20
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

  1. 6x + 9y − 3x + 2y
  2. 8m + 9m
  3. 3y + 8y
  4. 7x + 2x
  5. 5x + 2y − 9x + 6y
  6. 11x + 6x
  7. 2x + 6x
  8. 7x + 5y − 1x + 3y
  9. 5m + 1y − 8m + 1y
  10. 2m − 2m

Coefficients and terms

Class 7 · Worksheet 4 · set 20
Name:Date:Score:    / 10

Answer.

  1. In −9m² + 2m − 11 — coefficient of m = ?
  2. In −7x² − 9x + 1 — coefficient of x² = ?
  3. In −2y² + 7y − 6 — constant term = ?
  4. In −9y² − 4y + 3 — coefficient of y = ?
  5. In 7y² + 4y + 12 — constant term = ?
  6. In 3y² − 9y − 6 — constant term = ?
  7. In −2x² − 6x + 11 — constant term = ?
  8. In −9y² + 4y − 4 — constant term = ?
  9. In 3m² + 8m − 6 — coefficient of m = ?
  10. In 8m² + 8m − 12 — coefficient of m² = ?

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 20
Name:Date:Score:    / 10

Remove the brackets and simplify.

  1. (5a + 2) − (9a + 7)
  2. (4x − 4) − (9x + 3)
  3. (6x − 3) − (4x − 2)
  4. (4a + 9) + (9a + 5)
  5. (3a − 2) + (9a + 1)
  6. (8x − 6) + (9x + 5)
  7. (3y − 6) + (7y + 2)
  8. (5x − 9) + (8x + 2)
  9. (a + 6) + (9a − 5)
  10. (x − 8) − (x − 4)

Value with two letters

Class 7–8 · Worksheet 6 · set 20
Name:Date:Score:    / 8

Find the value.

  1. Value of 3a − 5b when a = −1, b = −4
  2. Value of a² + b when a = 5, b = −2
  3. Value of 4a + 4b when a = 3, b = −3
  4. Value of a² + b when a = 2, b = −2
  5. Value of 3a + 4b when a = −1, b = −4
  6. Value of 5a + 5b when a = −1, b = −1
  7. Value of 4a + 2b when a = 1, b = 4
  8. Value of a² + b when a = 5, b = 3

Multiplying expressions

Class 8 · Worksheet 7 · set 20
Name:Date:Score:    / 10

Multiply out the brackets.

  1. −5x(7x + 9)
  2. 5x(4x + 7)
  3. 5x(6x − 8)
  4. −2p(4p + 7)
  5. −4y(7y + 9)
  6. −4x(2x + 7)
  7. −2x(5x + 6)
  8. −2p(4p + 8)
  9. −5y(5y − 4)
  10. 6y(4y + 8)

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Questions

What is an algebraic expression?

A combination of numbers, letters and operations, like 3x + 5 or 2a − b. An expression has no “=” sign; an equation does.

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